Approximate Hermite quasi-interpolation

被引：1

作者：

Lanzara, F. ^{[5
]}

Maz'ya, V. ^{[2
,3
,4
]}

Schmidt, G. ^{[1
]}

机构：

[1] Weierstrass Inst Appl Anal & Stochast, Berlin, Germany

[2] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England

[3] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[4] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

[5] Univ Roma La Sapienza, Dept Math, I-00185 Rome, Italy

来源：

APPLICABLE ANALYSIS | 2008年 / 87卷 / 07期

关键词：

Hermite quasi-interpolation; multivariate approximation; error estimates; harmonic functions;

D O I：

10.1080/00036810802272658

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we derive approximate quasi-interpolants when the values of a function u and of some of its derivatives are prescribed at the points of a uniform grid. As a byproduct of these formulas we obtain very simple approximants, which provide high-order approximations for solutions to elliptic differential equations with constant coefficients.

引用

页码：805 / 827

页数：23

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